The invention relates to a writable magnetic element comprising a stack of layers presenting a write magnetic layer, wherein the stack has a central layer of at least one magnetic material presenting magnetization having a magnetization direction that is parallel to the plane of the central layer, which layer is sandwiched between first and second outer layers of non-magnetic materials, the first outer layer comprising a first non-magnetic material and the second outer layer comprising a second non-magnetic material that is different from the first non-magnetic material, at least the second non-magnetic material being electrically conductive, and wherein it includes a device to cause a write current to pass through the second outer layer and the central layer in a current flow direction parallel to the plane of the central layer at an angle α lying in the range 90°±60°, in particular 90°±30°, and more particularly 90°±15° relative to said magnetization direction in order to generate an effective magnetic field in the central layer, the current being applied either in a first direction or in a second direction opposite to the first, in order to orient the magnetization direction in a first magnetization direction or in a second magnetization direction opposite to the first.